Let f(t) be a real-valued differentiable function on (−1,1) such that f(0) = 0…
GATE · 2020 · XE · XE-A — Engineering Mathematics
Let f(t) be a real-valued differentiable function on (−1,1) such that f(0) = 0 and |df/dt| < 1 for 0 < t < 1. Then the series ∑ₙ₌₀^∞ f(0.5)ⁿ
- A.
converges but not absolutely.
- B.
is unbounded.
- C.
converges absolutely.
- D.
is bounded but does not converge.
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